Dislocations in the Field Theory of Elastoplasticity

Markus Lazar

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Submission date: 16. Apr. 2003
published in: Computational materials science, 28 (2003) 3/4, p. 419-428 
DOI number (of the published article): 10.1016/j.commatsci.2003.08.003
Bibtex
Keywords and phrases: dislocations, elastoplasticity, moment stress

Abstract:
By means of linear theory of elastoplasticity, solutions are given for screw and edge dislocations situated in an isotropic solid. The force stresses, strain fields, displacements, distortions, dislocation densities and moment stresses are determined. The force stresses, strain fields, displacements and distortions are devoid of singularities predicted by the classical elasticity. Using the so-called stress function method we found modified stress functions of screw and edge dislocations.